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5958096 = 2431947139
BaseRepresentation
bin10110101110100111010000
3102012200222020
4112232213100
53011124341
6331411440
7101433354
oct26564720
912180866
105958096
1133aa451
121bb3b80
131307c01
14b11464
157ca566
hex5ae9d0

5958096 has 80 divisors (see below), whose sum is σ = 16665600. Its totient is φ = 1828224.

The previous prime is 5958089. The next prime is 5958097. The reversal of 5958096 is 6908595.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5958097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42795 + ... + 42933.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 25958096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5958096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

5958096 is an abundant number, since it is smaller than the sum of its proper divisors (10707504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5958096 is a wasteful number, since it uses less digits than its factorization.

5958096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 5958096 is about 2440.9211376036. The cubic root of 5958096 is about 181.2880449665.

The spelling of 5958096 in words is "five million, nine hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 139 141 152 188 228 278 282 304 376 417 456 556 564 752 834 893 912 1112 1128 1668 1786 2224 2256 2641 2679 3336 3572 5282 5358 6533 6672 7144 7923 10564 10716 13066 14288 15846 19599 21128 21432 26132 31692 39198 42256 42864 52264 63384 78396 104528 124127 126768 156792 248254 313584 372381 496508 744762 993016 1489524 1986032 2979048 5958096